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13878053806276 = 2211231325412
BaseRepresentation
bin1100100111110011110001…
…1101111010000011000100
31211010201200102122110101001
43021330330131322003010
53304334223233300101
645303253452543044
72631441052663012
oct311747435720304
954121612573331
1013878053806276
114470716634400
1216817b0181a84
137989057b127a
1435d9b68758b2
15191000162901
hexc9f3c77a0c4

13878053806276 has 81 divisors (see below), whose sum is σ = 26830336417479. Its totient is φ = 6276429244800.

The previous prime is 13878053806259. The next prime is 13878053806297. The reversal of 13878053806276 is 67260835087831.

The square root of 13878053806276 is 3725326.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7264803808900 + 6613249997376 = 2695330^2 + 2571624^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25652594566 + ... + 25652595106.

Almost surely, 213878053806276 is an apocalyptic number.

13878053806276 is the 3725326-th square number.

It is an amenable number.

13878053806276 is a deficient number, since it is larger than the sum of its proper divisors (12952282611203).

13878053806276 is an frugal number, since it uses more digits than its factorization.

13878053806276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 64.

Multiplying 13878053806276 by its sum of digits (64), we get a square (888195443601664 = 298026082).

The spelling of 13878053806276 in words is "thirteen trillion, eight hundred seventy-eight billion, fifty-three million, eight hundred six thousand, two hundred seventy-six".

Divisors: 1 2 4 11 22 44 121 242 313 484 541 626 1082 1252 2164 3443 5951 6886 11902 13772 23804 37873 65461 75746 97969 130922 151492 169333 195938 261844 292681 338666 391876 585362 677332 1077659 1170724 1862663 2155318 3219491 3725326 4310636 6438982 7450652 11854249 12877964 20489293 23708498 35414401 40978586 47416996 53001229 70828802 81957172 91609153 106002458 141657604 183218306 212004916 366436612 583013519 1007700683 1166027038 2015401366 2332054076 4030802732 6413148709 11084707513 12826297418 22169415026 25652594836 28673664889 44338830052 57347329778 114694659556 315410313779 630820627558 1261641255116 3469513451569 6939026903138 13878053806276